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Yevgraf Stepanovich Fyodorov, sometimes spelled Evgraf Stepanovich Fedorov (Russian: Евгра́ф Степа́нович Фёдоров) (December 22, 1853–May 21, 1919), was a Russian mathematician, crystallographer, and mineralogist.[1][2][3]

Fyodorov was born in Russian city of Orenburg into a family of engineers. The family later moved to Saint Petersburg.

From the age of fifteen he was deeply interested in the theory of polytopes which later became his main research interest.

He was a distinguished graduate of Gorny Institute, which he joined at the age of 26.

In 1895, he became a professor of geology in Moscow Agricultural Institute (now Timiryazev Academy).


* His first book, "Basics of Polytopes", was finished in 1879 and published in 1885. It offers a classification of polytopes and derives Fyodorov polytopes, congruent polytopes that can completely fill space.
* He wrote the classic "The symmetry of regular systems of figures" in 1891[4] which contained the first cataloging of the 230 space groups, also independently classified by German mathematician Schönflies and English geologist William Barlow.
* He published his classic work "The theodolite method in mineralogy and petrography" in 1893.[5]


1. ^ A. Meniailov, "Fyodorov (or Fedorov), Evgraf Stepanovich" in Charles C. Gillispie, editor in chief, Dictionary of Scientific Biography (New York, New York: Charles Scribner's Sons, 1972), vol. 5, pages 210-214.
2. ^ I. I. Shafranovskii and N. V. Belov, "In Memorium: E. S. Fedorov 1853-1919," in P. P. Ewald, ed., Fifty Years of X-ray Diffraction (Utrecht, Nederland: International Union of Crystallography, 1962), pages 341-350. Available on-line at: .
3. ^ R.V. Galiulin (November 2003) "To the 150th anniversary of the birth of Evgraf Stepanovich Federov (1853-1919): Irregularities in the fate of the theory of regularity," Crystallography Reports, vol. 48, no. 6, pages 899-913.
4. ^ E. S. Fedorov (1891) "Симмтрія правильныхъ системъ фигуръ" ("Simmetriia pravil'nykh sistem figur") [The symmetry of regular systems of figures], Zapiski Imperatorskogo S. Petersburgskogo Mineralogichesgo Obshchestva [Proceedings of the Imperial St. Petersburg Mineralogical Society], series 2, vol. 28, pages 1-146. English translation: David and Katherine Harker (trans.), Symmetry of Crystals, American Crystallographic Association Monograph No. 7 [Bufallo, N.Y.: American Crystallographic Association, 1971], pages 50-131.
5. ^ Kunz, George Frederick and Wherry, Edgar T. (3 June 1921) "Russian Geologists" Science New Series 53(1379): pp. 516-517

See also

* Group theory

External links

* Fedorov session 2008.
* Fedorov session 2006.
* Universal stage after Federow for mineralogical microscopy, Berlin approx. 1925
* Large microscope after Brandão-Leiß with integrated universal stage after Fedorow, Berlin approx. 1925
* (Russian) Brief Biography

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